u^2-30u-31=0

Solution for u^2-30u-31=0 equation:

Simplifying
u2 + -30u + -31 = 0

Reorder the terms:
-31 + -30u + u2 = 0

Solving
-31 + -30u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -1u)(31 + -1u) = 0

Subproblem 1
Set the factor '(-1 + -1u)' equal to zero and attempt to solve:

Simplifying
-1 + -1u = 0

Solving
-1 + -1u = 0

Move all terms containing u to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1u = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1u = 0 + 1
-1u = 0 + 1

Combine like terms: 0 + 1 = 1
-1u = 1

Divide each side by '-1'.
u = -1

Simplifying
u = -1
Subproblem 2
Set the factor '(31 + -1u)' equal to zero and attempt to solve:

Simplifying
31 + -1u = 0

Solving
31 + -1u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-31' to each side of the equation.
31 + -31 + -1u = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -1u = 0 + -31
-1u = 0 + -31

Combine like terms: 0 + -31 = -31
-1u = -31

Divide each side by '-1'.
u = 31

Simplifying
u = 31
Solution
u = {-1, 31}